To find the surface area of a cylinder, we can use the formula:
\[ \text{Surface Area} = 2\pi r(h + r) \]
where:
- \( r \) is the radius,
- \( h \) is the height,
- \( \pi \) is approximately 3.14.
Given:
- Height \( h = 8 \) yards,
- Radius \( r = 7 \) yards.
Now, substituting the values into the formula:
\[ \text{Surface Area} = 2 \times 3.14 \times 7 \times (8 + 7) \]
First, calculate \( (8 + 7) \):
\[ 8 + 7 = 15 \]
Now substitute that back into the formula:
\[ \text{Surface Area} = 2 \times 3.14 \times 7 \times 15 \]
Calculate \( 2 \times 3.14 = 6.28 \):
\[ \text{Surface Area} = 6.28 \times 7 \times 15 \]
Calculate \( 6.28 \times 7 = 43.96 \):
\[ \text{Surface Area} = 43.96 \times 15 \]
Now calculate \( 43.96 \times 15 \):
\[ 43.96 \times 15 = 659.4 \]
Hence, the surface area of the cylinder is approximately \( 659.4 \) square yards.
However, re-checking the options provided:
- 252.77 square yards
- 329.7 square yards
- 577.76 square yards
- 252.77 square yards
None of them match the calculated surface area.
Would you like to check if there's any other specific detail from the visual information you have?